Application and Optimisation of the Spatial Phase Shifting ...

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179 8 References [Ada97] [Aebi97] [Aebi99] [Alb99] M. Adams, K. Hinsch, F. Lange, K. Wolff: Polarization effects in speckle correlation metrology, Opt. Eng. 36.8 (1997), 2225-2228 H. Aebischer, E. Mazza: Measurement of the nanometre deformation field in metallic microbars with microscopical ESPI, in: Optical Inspection and Micromeasurement II, Proc. SPIE 3098 (1997), 400- 410 H. Aebischer, S. Waldner: A simple and effective method for filtering speckle-interferometric phase fringe patterns, Opt. Comm. 162 (1999), 205-210 D. Albrecht: Estimation of the 2D measurement error introduced by in-plane and out-of-plane ESPI measurements, Opt. Las. Eng. 31 (1999), 63-81 [All63] L. Allen, D. Jones: An analysis of the granularity of scattered optical maser light, Phys. Lett. 7.5 (1963), 321-323 [Ara96] [Ara97] [Bah80] [Bar80] [Bar81] [Bar83] Y. Arai, S. Yokozeki, T. Yamada: High-speed fringe analysis method using frequency-demodulation technology, Opt. Eng. 35.8 (1996), 2341-2344 Y. Arai, S. Yokozeki, K. Shiraki, T. Yamada: High-precision two-dimensional spatial fringe analysis method, J. Mod. Opt. 44.4 (1997), 739-751 R. Bahuguna, K. Gupta, K. Singh: Expected number of intensity level crossings in a normal speckle pattern (Letter), JOSA 70.7 (1980), 874-876 R. Barakat: The level-crossing rate and above-level duration time of the intensity of a Gaussian random process, Inf. Sci. 20 (1980), 83-87 N. Baranova, B. Zel'dovich: Dislocations of the wave-front surface and zeros of the amplitude, Sov. Phys. JETP 53.5 (1981), 925-929 N. Baranova, A. Mamaev, N. Pilipetskii, V. Shkunov, B. Zel'dovich: Wave-front dislocations: topological limitations for adaptive systems with phase conjugation, JOSA 73.5 (1983), 525-528 [Bar85] R. Barakat: The statistical properties of partially polarized light, Opt. Act. 32.3 (1985), 295-312 [Bar87] R. Barakat: Second-order statistics of integrated intensities and of detected photoelectrons, J. Mod. Opt. 34.1 (1987), 91-102 [Bar88] R. Barakat: Level-crossing statistics of aperture-integrated isotropic speckle, JOSA A 5.8 (1988), 1244-1247 [Bar91] [Bar99] [Bas95] R. Barakat: Probability density of the radial gradient of aperture-averaged isotropic-speckle intensity (Letter), JOSA A 8.2 (1991), 450-451 B. Barrientos García, A. Moore, C. Pérez López, L. Wang, T. Tschudi: Spatial phase-stepped interferometry using a holographic optical element, Opt. Eng. 38.12 (1999), 2069-2074 I. Basistiy, M. Soskin, M. Vasnetsov: Optical wavefront dislocations and their properties, Opt. Comm. 119 (1995), 604-612 [Ber78] M. Berry: Disruption of wavefronts: statistics of dislocations in incoherent Gaussian random waves, J. Phys. A 11.1 (1978), 27-37 [Ber97] [Bie89] [Bon86] E. Berger, W. von der Linden, V. Dose, M. Ruprecht, A. Koch: Approach for the evaluation of speckle deformation measurements by application of the wavelet transformation, Appl. Opt. 36.29 (1997), 7455-7460 E. Bieber, W. Osten: Improvement of speckled fringe patterns by Wiener filtration, in: Interferometry '89, Proc. SPIE 1121 (1989), 393-399 D. Bone, H. Bachor, R. Sandeman: Fringe-pattern analysis using a 2-D Fourier transform, Appl. Opt. 25.10 (1986); D. Bone, H. Bachor, R. Sandeman: Spectral line interferometry with temporal and spatial resolution, Opt. Comm. 57 (1986), 39-44
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Application and Optimisation of the
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Table of Contents 1 1 INTRODUCTION
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3 1 Introduction The present era of
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Introduction 5 retrieval can help t
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7 2 Statistical Properties of Speck
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2.1 Experimental set-up 9 Gaussian
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2.2 First-order speckle statistics
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2.3 Second-order speckle statistics
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47 3 Electronic or Digital Speckle
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3.1 Subtraction-mode ESPI 49 some 4
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3.2 Phase-shifting ESPI 51 filled u
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3.2 Phase-shifting ESPI 53 known si
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3.2 Phase-shifting ESPI 55 α n =α
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3.2 Phase-shifting ESPI 57 But reme
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3.2 Phase-shifting ESPI 59 ϕ ϕ O,
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3.2 Phase-shifting ESPI 61 These fo
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3.2 Phase-shifting ESPI 63 ∞ ~ ~
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3.2 Phase-shifting ESPI 65 ∞ N
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3.2 Phase-shifting ESPI 67 The spec
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3.2 Phase-shifting ESPI 69 − 0. 2
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3.2 Phase-shifting ESPI 71 ν x 0 i
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3.2 Phase-shifting ESPI 73 to think
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3.3 Temporal phase shifting 75 Agai
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3.3 Temporal phase shifting 77 addi
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3.4 Spatial phase shifting 79 which
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3.4 Spatial phase shifting 81 3.4.1
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3.4 Spatial phase shifting 83 cross
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3.4 Spatial phase shifting 85 Fig.
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3.4 Spatial phase shifting 87 arran
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3.4 Spatial phase shifting 89 infor
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3.4 Spatial phase shifting 91 frequ
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3.4 Spatial phase shifting 93 altho
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3.4 Spatial phase shifting 95 error
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3.4 Spatial phase shifting 97 Since
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100 Quantification of displacement-
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110
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112 Comparison of noise in phase ma
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Page 130 and 131: 128 Comparison of noise in phase ma
Page 136 and 137: 134 Improvements on SPS intensity o
Page 138 and 139: 136 Improvements on SPS 0.14 σ d /
Page 140 and 141: 138 Improvements on SPS we are conc
Page 142 and 143: 140 Improvements on SPS 6.2 Modifie
Page 146 and 147: 144 Improvements on SPS Fig. 6.7 te
Page 148 and 149: 146 Improvements on SPS Finally, bo
Page 150 and 151: 148 Improvements on SPS To use the
Page 152 and 153: 150 Improvements on SPS The improve
Page 154 and 155: 152 Improvements on SPS On the whol
Page 156 and 157: 154 Improvements on SPS In classica
Page 158 and 159: 156 Improvements on SPS generally n
Page 162 and 163: 160 Improvements on SPS uncertain,
Page 164 and 165: 162 Improvements on SPS To obtain p
Page 166 and 167: 164 Improvements on SPS Fig. 6.22:
Page 168 and 169: 166 Improvements on SPS This proced
Page 170 and 171: 168 Improvements on SPS 6.7.2 Long-
Page 172 and 173: 170 Improvements on SPS Fig. 6.28:
Page 174 and 175: 172 Improvements on SPS the heater
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Page 178 and 179: 176 Summary method to search for a
Page 182 and 183: 180 References [Bot97] [Bra87] [Bro
Page 184 and 185: 182 References [Ett97] [Fac93] [Far
Page 186 and 187: 184 References [Har94] [Her96] [Het
Page 188 and 189: 186 References [Kuj89] [Kuj91a] [Ku
Page 190 and 191: 188 References [McLa86] [Mer83] J.
Page 192 and 193: 190 References [Rav99] I. Raveh, E.
Page 194 and 195: 192 References [Sur98b] [Sur98c] [S
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Page 198 and 199: 196 Appendix A: Counting events and
Page 200 and 201: 198 Appendix B: Real-time phase cal
Page 202 and 203: 200 Appendix C: Derivation of inten
Page 204 and 205: I 1 a r g ( S ~ ( ) ) 202 Appendix
Page 206 and 207: 204 Appendix D: Alternative error-c
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Page 212 and 213: 210 The author List of publications
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